Atkin-Lehner |
2+ 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390bh |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
22027950000 = 24 · 35 · 55 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2623,50978] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-100:1] |
Generators of the group modulo torsion |
j |
40708441207609/449550000 |
j-invariant |
L |
5.6190276318393 |
L(r)(E,1)/r! |
Ω |
1.2118285886868 |
Real period |
R |
0.092736343806387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54390d1 |
Quadratic twists by: -7 |